You can read allow your blog to your self and you can restrict your blog to only readers you choose.
These readers will need to log in before reading your blog.
1. First Go to the Blogger.com.
2. Log in and go to the Dashboard.
3. Go to the Settings and click on the Permissions
4. Now you can see there are showing clicks on Anybody means now anybody can read your blog.
5. You will need to change the click on Only Blog Authors then only author can read the blog.
6. when you click on only blog authors then you will allow to author.